Which of the Following Is an Accurate Description of the Long-Term

Multiple Choice

Which of the following is an accurate description of the long-term behavior of the solution of the initial value problem

For any choice of $\alpha$ and $\beta$ satisfying

A) y is periodic with period $\pi$ .
B) y is periodic with period 2 $\pi$ .
C) y becomes unbounded in both the positive and negative y-directions as t $\rightarrow$ $\infty$ .
D) y oscillates toward 0 as t $\rightarrow$ $\infty$ .
E) y increases toward + $\infty$ if $\beta$ > 0, and decreases toward - $\infty$ if $\beta$ < 0.